A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take(frac{22}{7})]
-
A.
7.83(m^2) -
B.
32.29(m^2) -
C.
50.29(m^2) -
D.
82.50(m^2)
Correct Answer: Option D
Explanation
Area of path = Area of (pond+path) – Area of pond
The area of the pond with the path: The radius = (4 + 2.5)m = 6.5m
Area = (pi times r^{2}) = (frac{22}{7} times 6.5^{2} approxeq 132.79m^{2})
Area of the pond = (frac{22}{7} times 4^{2} approxeq 50.29m^{2})
Area of the path = (132.79 – 50.29)m^{2} = 82.50m^{2})